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426227742720 = 211325131721231
BaseRepresentation
bin1100011001111010010…
…01110011100000000000
31111202011112200202012100
412030331021303200000
523440403300231340
6523450055430400
742536215015143
oct6147511634000
91452145622170
10426227742720
111548424a372a
126a732985400
1331268330730
14168b561c05a
15b149286830
hex633d273800

426227742720 has 864 divisors, whose sum is σ = 1691319389760. Its totient is φ = 98665758720.

The previous prime is 426227742709. The next prime is 426227742749. The reversal of 426227742720 is 27247722624.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 346244505 + ... + 346245735.

It is an arithmetic number, because the mean of its divisors is an integer number (1957545590).

Almost surely, 2426227742720 is an apocalyptic number.

426227742720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426227742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845659694880).

426227742720 is an abundant number, since it is smaller than the sum of its proper divisors (1265091647040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

426227742720 is a wasteful number, since it uses less digits than its factorization.

426227742720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 45.

The spelling of 426227742720 in words is "four hundred twenty-six billion, two hundred twenty-seven million, seven hundred forty-two thousand, seven hundred twenty".